JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Analyzing +4 | -1

Let

f(x)=x^3\left\{\sqrt{x^2+\sqrt{x^4+1}}-x \sqrt{2}\right\}

. Then

\lim _{x \rightarrow \infty} f(x)

is equal to

View answer and explanation

Correct option: B

\frac{1}{4 \sqrt{2}}

Option B (1/(4√2)) is correct because after simplifying the expression and taking the limit as x approaches infinity, the result is 1/(4√2).

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